I found an easy way to keep the fence supported without worrying about harming the decoration. Just go to your local home improvement store and buy a length of PVC gray pipe. Cut the pipe into 6 inch lengths and pound them into the ground with a hammer until they are flush with the ground. Insert the halloween fence decoration into the pipe, and everything works perfectly. When the holiday is over, simply pull out the PVC pipe pieces. Works like a charm!

Had 3 sets, created a broken border for graveyard in front. Staked them into ground with no issues. Will likely buy another few sets next season to create an unbroken border(These particular fences sold out much faster than other fences inside several Spirit Halloween stores around me).